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anonymous
 one year ago
Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = 226.
334
274
284
346
anonymous
 one year ago
Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = 226. 334 274 284 346

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2hint: we can write these equations: \[\Large \begin{gathered} {a_{22}} = {a_1} + 21d \hfill \\ {a_{31}} = {a_1} + 30d \hfill \\ \end{gathered} \] since the general formula is: \[\Large {a_n} = {a_1} + \left( {n  1} \right)d\] where d is the constant of your sequence

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2using your data we can rewrite the first equation as follows: \[\Large  226 = 26 + 21d\] please solve that equation for d

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2now, substituting that value of d into the second equation, we get: \[\Large {a_{31}} = 26 + 30 \times \left( {  12} \right) = ...?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Given the functions f(n ) = 11 and g(n ) = 2(n  1), combine them to create an arithmetic sequence, an, and solve for the 31st term. an = 11  2(n  1); a31 = 49 an = 11  2(n  1); a31 = 51 an = 11 + 2(n  1); a31 = 71 an = 11 + 2(n  1); a31 = 73

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u help me with this one

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2for example, let's consider the first option: we have: \[\Large {a_n} = 11  2\left( {n  1} \right)\] so for n=31, we can rewrite that equationas follows: \[\Large {a_{31}} = 11  2 \times \left( {31  1} \right) = ...?\] please continue

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2yes! that's right!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain. n an 1 40 2 47 3 54

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u help me with this one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Those are the options: an = 40 + 7(n  1) where n ≥ 40 an = 40 + 7(n  1) where n ≥ 1 an = 40  7(n  1) where n ≥ 40 an = 40  7(n  1) where n ≥ 1

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2Please wait: also the third option is correct, since we can write this: \[\Large {a_{31}} = 11 + 2 \times \left( {31  1} \right) = ...?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.071 is not an answer option tho

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh yes it is nevermind

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Which one is the right one? How can I know?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2I'm pondering...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I just make a guess?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2maybe the first one, since the first option contains both f(n) and g(n), whereas the third option contains f(n) and g(n)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u help me with thise one now: Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain. n an 1 40 2 47 3 54 Those are the options: an = 40 + 7(n  1) where n ≥ 40 an = 40 + 7(n  1) where n ≥ 1 an = 40  7(n  1) where n ≥ 40 an = 40  7(n  1) where n ≥ 1

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the constant of your sequence is: \[d = 47  40 = 54  47 = ...?\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2so, since the general formula, is: \[\Large {a_n} = {a_1} + \left( {n  1} \right)d\] replace a_1 with 40 and d with 7, what do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0whats in the n spot?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2n is the number of terms, it is a natural number, more precisely n1 is the number of terms of the sequence which precede a_n

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so is the answer the second one

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2yes! since we start to count from n=1
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